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Daily Sudoku Answer 



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Apr 21 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C1 is the only square in row 3 that can be <3>

R6C5 is the only square in row 6 that can be <1>

R6C4 is the only square in row 6 that can be <7>

R7C1 is the only square in row 7 that can be <1>

Squares R7C3 and R8C1 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C2 - removing <4> from <24> leaving <2>

R9C2 - removing <4> from <2459> leaving <259>

R9C3 - removing <4> from <459> leaving <59>

Intersection of block 2 with row 1. The value <8> only appears in one or more of squares R1C4, R1C5 and R1C6 of block 2. These squares are the ones that intersect with row 1. Thus, the other (non-intersecting) squares of row 1 cannot contain this value.

R1C3 - removing <8> from <4589> leaving <459>

R1C7 - removing <8> from <1489> leaving <149>

Intersection of block 4 with column 1. The value <9> only appears in one or more of squares R4C1, R5C1 and R6C1 of block 4. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.

R2C1 - removing <9> from <4589> leaving <458>

Squares R2C1 and R2C9 in row 2 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <8>. All other instances of this possibility in columns 1 and 9 can be removed.

R3C9 - removing <8> from <678> leaving <67>

R7C9 - removing <8> from <248> leaving <24>

Squares R4C9<245>, R6C9<45> and R7C9<24> in column 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <245>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C9 - removing <4> from <478> leaving <78>

R8C9 - removing <4> from <4678> leaving <678>

Squares R9C2, R9C3, R1C2 and R1C3 form a Type-2 Unique Rectangle on <59>.

R2C1 - removing <4> from <458> leaving <58>

R2C2 - removing <4> from <4579> leaving <579>

R1C7 - removing <4> from <149> leaving <19>

R1C8 - removing <4> from <146> leaving <16>

R2C8 is the only square in row 2 that can be <4>

R8C8 is the only square in column 8 that can be <7>

Squares R9C6 and R9C8 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C4 - removing <6> from <346> leaving <34>

Squares R3C5 and R3C9 in row 3 and R8C5 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 5 and 9 can be removed.

R4C5 - removing <6> from <24569> leaving <2459>

Squares R7C7 (XYZ), R7C3 (XZ) and R9C7 (YZ) form an XYZ-Wing pattern on <4>. All squares that are buddies of all three squares cannot be <4>.

R7C9 - removing <4> from <24> leaving <2>

R9C8 can only be <6>

R9C6 can only be <2>

R1C8 can only be <1>

R8C9 can only be <8>

R1C7 can only be <9>

R5C8 can only be <2>

R8C1 can only be <4>

R2C9 can only be <7>

R3C7 can only be <8>

R3C9 can only be <6>

R3C5 can only be <9>

R8C5 can only be <6>

R7C3 can only be <8>

R3C3 can only be <7>

R2C5 can only be <5>

R2C1 can only be <8>

R2C2 can only be <9>

R9C2 can only be <5>

R9C3 can only be <9>

R1C2 can only be <4>

R1C3 can only be <5>

R5C2 can only be <7>

R5C3 can only be <4>

R5C5 can only be <3>

R5C7 can only be <1>

R5C4 can only be <8>

R7C5 can only be <4>

R7C7 can only be <3>

R4C5 can only be <2>

R9C4 can only be <3>

R9C7 can only be <4>

R5C6 can only be <5>

R1C4 can only be <6>

R6C6 can only be <9>

R6C1 can only be <5>

R4C6 can only be <6>

R1C6 can only be <8>

R4C4 can only be <4>

R4C9 can only be <5>

R4C1 can only be <9>

R6C9 can only be <4>



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